光滑纤维化的特征类
Characteristic classes of smooth fibrations
摘要：
我们构造了光滑（Hamilton）纤维化的特征类，以及在泛纤维化的全空间上垂直向量丛的Pontriagin（或Chern）类的乘积的纤维积分.给出了环面流形上这些纤维积分的显式表达式，并得到了分类空间的上同调群的维数估计。
英文摘要：
We construct characteristic classes of smooth (Hamiltonian) fibrations as as fiber integrals of products of Pontriagin (or Chern) classes of vertical vector bundles over the total space of the universal fibration. We give explicit formulae of these fiber integrals for toric manifolds and get estimates of the dimension of the cohomology groups of classifying spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
